Finding the Third Proportional to 83.81 and 182.53

Step by Step Solution

1. Step 1: Write the proportion equation
   83.81 : 182.53 = 182.53 : x
2. Step 2: Convert to fraction form
   83.81/182.53 = 182.53/x
3. Step 3: Cross multiply
   83.81x = 182.53 × 182.53
4. Step 4: Simplify right side
   83.81x = 33,317.66
5. Step 5: Solve for x
   x = 33,317.66/83.81
6. Step 6: Final answer
   x = 397.53